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arxiv: 1210.5546 · v2 · pith:ZPAQ4UPUnew · submitted 2012-10-19 · 🧮 math.PR

S-inequality for certain product measures

classification 🧮 math.PR
keywords productcertainmeasuress-inequalitycomparisonconcentrationderivedistributions
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In this paper we prove the S-inequality for certain product probability measures and ideals in R^n . As a result, for the Weibull and Gamma product distributions we derive concentration of measure type estimates as well as optimal comparison of moments.

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